Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-ready Mathematics

by Robert Geretschlager

Overview

The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.

Product Details

ISBN-13:	9789811207235
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	01/22/2020
Series:	Problem Solving In Mathematics And Beyond , #13
Pages:	192
Product dimensions:	6.00(w) x 9.00(h) x 0.41(d)

Table of Contents

Foreword v

About the Authors ix

Introduction xv

Part 1 Some Paths Leading from Interesting Mathematics to the Development of Potential Competition Problems 1

Chapter 1.1 Some Standard-Like Problems and Non-standard Solutions Krzysztof Ciesielski 3

Chapter 1.2 Balls and Polyhedra Robert Geretschläger 17

Chapter 1.3 Hunting of Lions: Inversion May Help Kiril Bankov 47

Chapter 1.4 Sangaku: Traditional Japanese Mathematics Hidetoshi Fukagawa 61

Chapter 1.5 Can We Pose Problems That are Attractive, Yet Accessible to Many? Edmundas Mazetis Romualdas Kašuba 87

Chapter 1.6 A Functional Equation Arising from Compatibility of Means Martin E. Kuczma 109

Chapter 1.7 Open Problems as Generalizations of Tasks from Mathematics Competitions Kiril Bankov 117

Part 2 Some Favorite Puzzles and Problems Presented by Participants 125

Chapter 2.1 Introduction, Problems and Solutions 127

Index 175